0.09/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.15 % Command : run_vampire %s %d 0.14/0.36 % Computer : n027.cluster.edu 0.14/0.36 % Model : x86_64 x86_64 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.36 % Memory : 8042.1875MB 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 960 0.14/0.36 % WCLimit : 120 0.14/0.36 % DateTime : Thu Jul 2 08:41:31 EDT 2020 0.14/0.37 % CPUTime : 0.24/0.53 % (25759)dis+1002_7_acc=on:afp=4000:afq=2.0:amm=sco:anc=none:cond=fast:fsr=off:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:newcnf=on:nwc=1.1:nicw=on:sos=on:sac=on:sp=reverse_arity:urr=ec_only:updr=off_8 on theBenchmark 0.24/0.54 % (25737)lrs-11_12_av=off:nm=32:nwc=1.3:stl=30:sd=3:ss=axioms:sos=all_2 on theBenchmark 0.24/0.54 % (25744)lrs+11_20_av=off:bs=unit_only:bsr=on:bce=on:cond=on:fde=none:gs=on:gsem=on:irw=on:nm=4:nwc=1:stl=30:sos=theory:sp=reverse_arity:uhcvi=on_3 on theBenchmark 0.24/0.54 % (25743)ott+11_16_av=off:gs=on:gsem=on:irw=on:lma=on:nm=64:newcnf=on:nwc=1.3:sas=z3:sp=reverse_arity_14 on theBenchmark 0.24/0.55 % (25745)ott+2_2_afp=10000:afq=1.4:amm=off:anc=none:gsp=input_only:gs=on:gsem=off:irw=on:lcm=predicate:nm=32:nwc=1.5:sos=on:sp=reverse_arity_18 on theBenchmark 0.24/0.55 % (25756)lrs+1011_10_aac=none:acc=model:add=large:afp=40000:afq=2.0:anc=none:bd=off:bsr=on:fsr=off:gs=on:gsem=off:irw=on:lcm=reverse:lwlo=on:nm=64:nwc=3:nicw=on:stl=30_19 on theBenchmark 0.24/0.55 % (25763)lrs+1011_8:1_afr=on:afp=1000:afq=2.0:br=off:gsp=input_only:gs=on:nm=16:nwc=1:stl=30:sos=all:sp=occurrence:urr=on_8 on theBenchmark 0.24/0.55 % (25751)lrs+1010_8_add=off:afp=100000:afq=1.0:amm=off:anc=none:bce=on:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:sas=z3:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark 0.24/0.55 % (25764)dis+1002_6_add=large:afp=40000:afq=2.0:bsr=on:cond=on:irw=on:lma=on:nm=2:nwc=2.5:nicw=on:sp=reverse_arity:updr=off_10 on theBenchmark 0.24/0.55 % (25741)lrs+1011_5_add=large:afp=1000:afq=1.2:anc=none:fsr=off:irw=on:lma=on:nm=64:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:sp=reverse_arity:urr=on:updr=off_10 on theBenchmark 0.24/0.55 % (25753)dis+1_2:3_acc=on:add=large:afp=40000:afq=2.0:amm=sco:anc=none:er=filter:fsr=off:gsp=input_only:gs=on:gsem=off:nm=64:newcnf=on:nwc=1_3 on theBenchmark 0.24/0.55 % (25738)lrs+2_3:1_add=large:afr=on:afp=10000:afq=1.1:amm=off:anc=none:er=known:fde=unused:gs=on:gsaa=from_current:gsem=on:lma=on:nm=32:newcnf=on:nwc=4:sas=z3:stl=30:sd=1:ss=axioms:st=5.0:sac=on:sp=occurrence:updr=off_2 on theBenchmark 0.24/0.56 % (25752)lrs+1011_3:1_add=off:afr=on:afp=10000:afq=1.1:amm=off:bce=on:cond=on:ep=R:fsr=off:nm=16:nwc=1:stl=30:sos=all:sp=reverse_arity:updr=off_9 on theBenchmark 0.24/0.56 % (25755)ott+1002_8:1_add=off:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:bs=unit_only:fsr=off:gs=on:gsem=off:nm=32:nwc=10:sas=z3:sp=occurrence:urr=on:updr=off_14 on theBenchmark 0.24/0.56 % (25745)Refutation not found, incomplete strategy% (25745)------------------------------ 0.24/0.56 % (25745)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.24/0.56 % (25745)Termination reason: Refutation not found, incomplete strategy 0.24/0.56 0.24/0.56 % (25745)Memory used [KB]: 10618 0.24/0.56 % (25745)Time elapsed: 0.116 s 0.24/0.56 % (25745)------------------------------ 0.24/0.56 % (25745)------------------------------ 0.24/0.56 % (25747)lrs+1003_3_awrs=decay:awrsf=4:add=large:afr=on:afp=100000:afq=2.0:amm=sco:bd=off:cond=fast:fsr=off:fde=unused:gs=on:gsem=on:nm=6:nwc=1:stl=30:sd=1:ss=axioms:st=1.2:sos=on:sac=on:sp=frequency:urr=on:updr=off_2 on theBenchmark 0.24/0.56 % (25748)lrs-3_4:1_afp=1000:afq=1.4:amm=sco:fde=none:gs=on:lcm=reverse:lma=on:nwc=1.5:stl=30:sd=1:ss=axioms:sp=reverse_arity:urr=on:updr=off:uhcvi=on_11 on theBenchmark 0.24/0.56 % (25759)Refutation not found, incomplete strategy% (25759)------------------------------ 0.24/0.56 % (25759)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.24/0.56 % (25759)Termination reason: Refutation not found, incomplete strategy 0.24/0.56 0.24/0.56 % (25759)Memory used [KB]: 10746 0.24/0.56 % (25759)Time elapsed: 0.133 s 0.24/0.56 % (25759)------------------------------ 0.24/0.56 % (25759)------------------------------ 0.24/0.56 % (25757)lrs+1011_5:4_acc=on:add=large:afr=on:afp=10000:afq=2.0:amm=sco:anc=none:bsr=on:ccuc=first:cond=on:fde=unused:gs=on:gsaa=from_current:gsem=off:irw=on:nm=2:newcnf=on:nwc=1.2:stl=30:sos=on:sac=on:sp=reverse_arity:updr=off_126 on theBenchmark 0.24/0.57 % (25749)lrs+1011_7_add=large:afr=on:afp=40000:afq=1.4:amm=off:anc=none:cond=on:er=known:fsr=off:lma=on:nm=4:nwc=2.5:stl=30:sp=reverse_arity:updr=off_2 on theBenchmark 0.24/0.57 % (25765)lrs+11_4:1_aac=none:add=large:afr=on:afp=10000:afq=1.0:amm=sco:anc=none:cond=on:er=filter:fsr=off:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:newcnf=on:nwc=1.1:sas=z3:stl=30:sos=theory:sp=reverse_arity:updr=off_3 on theBenchmark 0.24/0.57 % (25757)Refutation not found, incomplete strategy% (25757)------------------------------ 0.24/0.57 % (25757)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.24/0.57 % (25740)dis+1011_24_add=large:afr=on:afp=4000:afq=1.0:anc=none:bs=unit_only:bce=on:cond=fast:gs=on:nm=32:nwc=2.5:nicw=on:sp=occurrence:updr=off_39 on theBenchmark 0.24/0.57 % (25757)Termination reason: Refutation not found, incomplete strategy 0.24/0.57 0.24/0.57 % (25760)ott+4_40_av=off:bce=on:cond=fast:fde=none:nm=0:nwc=1:sos=all:updr=off_197 on theBenchmark 0.24/0.57 % (25757)Memory used [KB]: 10746 0.24/0.57 % (25757)Time elapsed: 0.136 s 0.24/0.57 % (25757)------------------------------ 0.24/0.57 % (25757)------------------------------ 0.24/0.57 % (25761)lrs+1010_3_av=off:fsr=off:gs=on:gsem=off:nm=2:newcnf=on:nwc=2:stl=30:sp=reverse_arity:urr=on:updr=off_9 on theBenchmark 0.24/0.57 % (25762)dis+1_3:2_acc=on:add=off:afr=on:afp=40000:afq=1.0:amm=sco:anc=none:ccuc=small_ones:cond=on:lma=on:nm=64:nwc=1.3:sos=all:urr=on_111 on theBenchmark 0.24/0.58 % (25739)dis+2_2:1_aac=none:afp=100000:afq=1.1:amm=sco:anc=none:bsr=on:fsr=off:gs=on:gsem=on:lcm=reverse:lma=on:nm=64:nwc=1:sos=on_6 on theBenchmark 0.24/0.58 % (25739)Refutation not found, incomplete strategy% (25739)------------------------------ 0.24/0.58 % (25739)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.24/0.58 % (25739)Termination reason: Refutation not found, incomplete strategy 0.24/0.58 0.24/0.58 % (25739)Memory used [KB]: 10618 0.24/0.58 % (25739)Time elapsed: 0.128 s 0.24/0.58 % (25739)------------------------------ 0.24/0.58 % (25739)------------------------------ 0.24/0.58 % (25746)lrs+11_1_add=large:afr=on:afp=100000:afq=2.0:amm=off:anc=none:bd=off:gs=on:gsem=on:irw=on:nm=32:newcnf=on:nwc=2.5:nicw=on:stl=30:sd=3:ss=axioms:sos=all:urr=on_34 on theBenchmark 0.24/0.59 % (25754)ott+11_4_afp=100000:afq=1.2:amm=sco:anc=none:cond=fast:ep=R:fde=none:gs=on:gsaa=from_current:gsem=off:lma=on:nm=16:nwc=1:sd=3:ss=axioms:updr=off_2 on theBenchmark 0.24/0.59 % (25742)lrs+11_128_av=off:bsr=on:cond=on:gs=on:lcm=reverse:lma=on:nm=32:nwc=1:stl=30:sd=5:ss=axioms:st=3.0_1 on theBenchmark 0.24/0.59 % (25758)dis+1011_10_av=off:cond=on:lma=on:nm=0:newcnf=on:nwc=1:sos=on:sp=occurrence:updr=off_4 on theBenchmark 0.24/0.59 % (25766)dis+1010_3:2_av=off:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark 0.24/0.59 % (25750)lrs+10_4:1_add=large:afp=100000:afq=1.1:anc=none:ep=RST:fde=unused:gsp=input_only:nm=6:newcnf=on:nwc=1:stl=30:sos=all:sac=on:sp=reverse_arity:urr=ec_only_22 on theBenchmark 0.24/0.60 % (25758)Refutation not found, incomplete strategy% (25758)------------------------------ 0.24/0.60 % (25758)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 1.80/0.61 % (25758)Termination reason: Refutation not found, incomplete strategy 1.80/0.61 1.80/0.61 % (25758)Memory used [KB]: 1663 1.80/0.61 % (25758)Time elapsed: 0.163 s 1.80/0.61 % (25758)------------------------------ 1.80/0.61 % (25758)------------------------------ 2.00/0.67 % (25753)Refutation found. Thanks to Tanya! 2.00/0.67 % SZS status Theorem for theBenchmark 2.00/0.68 % SZS output start Proof for theBenchmark 2.00/0.68 fof(f1408,plain,( 2.00/0.68 $false), 2.00/0.68 inference(avatar_sat_refutation,[],[f61,f84,f132,f385,f533,f534,f535,f892,f906,f1122,f1172,f1173,f1355,f1407])). 2.00/0.68 fof(f1407,plain,( 2.00/0.68 sK0 != sK5(singleton(sK0),singleton(sK1),sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1))))) | sK1 != sK6(singleton(sK0),singleton(sK1),sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1))))) | sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)))) != unordered_pair(singleton(sK5(singleton(sK0),singleton(sK1),sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)))))),unordered_pair(sK5(singleton(sK0),singleton(sK1),sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1))))),sK6(singleton(sK0),singleton(sK1),sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1))))))) | unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)) = sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1))))), 2.00/0.68 introduced(theory_tautology_sat_conflict,[])). 2.00/0.68 fof(f1355,plain,( 2.00/0.68 spl11_78 | ~spl11_18), 2.00/0.68 inference(avatar_split_clause,[],[f1335,f377,f1352])). 2.00/0.68 fof(f1352,plain,( 2.00/0.68 spl11_78 <=> sK0 = sK5(singleton(sK0),singleton(sK1),sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)))))), 2.00/0.68 introduced(avatar_definition,[new_symbols(naming,[spl11_78])])). 2.00/0.68 fof(f377,plain,( 2.00/0.68 spl11_18 <=> in(sK5(singleton(sK0),singleton(sK1),sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1))))),singleton(sK0))), 2.00/0.68 introduced(avatar_definition,[new_symbols(naming,[spl11_18])])). 2.00/0.68 fof(f1335,plain,( 2.00/0.68 sK0 = sK5(singleton(sK0),singleton(sK1),sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1))))) | ~spl11_18), 2.00/0.68 inference(resolution,[],[f379,f49])). 2.00/0.68 fof(f49,plain,( 2.00/0.68 ( ! [X2,X0] : (~in(X2,singleton(X0)) | X0 = X2) )), 2.00/0.68 inference(equality_resolution,[],[f26])). 2.00/0.68 fof(f26,plain,( 2.00/0.68 ( ! [X2,X0,X1] : (singleton(X0) != X1 | X0 = X2 | ~in(X2,X1)) )), 2.00/0.68 inference(cnf_transformation,[],[f5])). 2.00/0.68 fof(f5,axiom,( 2.00/0.68 ! [X0,X1] : (! [X2] : (in(X2,X1) <=> X0 = X2) <=> singleton(X0) = X1)), 2.00/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski)). 2.00/0.68 fof(f379,plain,( 2.00/0.68 in(sK5(singleton(sK0),singleton(sK1),sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1))))),singleton(sK0)) | ~spl11_18), 2.00/0.68 inference(avatar_component_clause,[],[f377])). 2.00/0.68 fof(f1173,plain,( 2.00/0.68 unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)) != sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)))) | ~in(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)))) | in(sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)))),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1))))), 2.00/0.68 introduced(theory_tautology_sat_conflict,[])). 2.00/0.68 fof(f1172,plain,( 2.00/0.68 unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)) != sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)))) | ~in(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)),cartesian_product2(singleton(sK0),singleton(sK1))) | in(sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)))),cartesian_product2(singleton(sK0),singleton(sK1)))), 2.00/0.68 introduced(theory_tautology_sat_conflict,[])). 2.00/0.68 fof(f1122,plain,( 2.00/0.68 spl11_51 | ~spl11_17), 2.00/0.68 inference(avatar_split_clause,[],[f1104,f372,f1119])). 2.00/0.68 fof(f1119,plain,( 2.00/0.68 spl11_51 <=> sK1 = sK6(singleton(sK0),singleton(sK1),sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)))))), 2.00/0.68 introduced(avatar_definition,[new_symbols(naming,[spl11_51])])). 2.00/0.68 fof(f372,plain,( 2.00/0.68 spl11_17 <=> in(sK6(singleton(sK0),singleton(sK1),sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1))))),singleton(sK1))), 2.00/0.68 introduced(avatar_definition,[new_symbols(naming,[spl11_17])])). 2.00/0.68 fof(f1104,plain,( 2.00/0.68 sK1 = sK6(singleton(sK0),singleton(sK1),sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1))))) | ~spl11_17), 2.00/0.68 inference(resolution,[],[f374,f49])). 2.00/0.68 fof(f374,plain,( 2.00/0.68 in(sK6(singleton(sK0),singleton(sK1),sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1))))),singleton(sK1)) | ~spl11_17), 2.00/0.68 inference(avatar_component_clause,[],[f372])). 2.00/0.68 fof(f906,plain,( 2.00/0.68 spl11_38), 2.00/0.68 inference(avatar_contradiction_clause,[],[f905])). 2.00/0.68 fof(f905,plain,( 2.00/0.68 $false | spl11_38), 2.00/0.68 inference(resolution,[],[f889,f51])). 2.00/0.68 fof(f51,plain,( 2.00/0.68 ( ! [X2] : (in(X2,singleton(X2))) )), 2.00/0.68 inference(equality_resolution,[],[f50])). 2.00/0.68 fof(f50,plain,( 2.00/0.68 ( ! [X2,X0] : (X0 != X2 | in(X2,singleton(X0))) )), 2.00/0.68 inference(equality_resolution,[],[f25])). 2.00/0.68 fof(f25,plain,( 2.00/0.68 ( ! [X2,X0,X1] : (singleton(X0) != X1 | X0 != X2 | in(X2,X1)) )), 2.00/0.68 inference(cnf_transformation,[],[f5])). 2.00/0.68 fof(f889,plain,( 2.00/0.68 ~in(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)))) | spl11_38), 2.00/0.68 inference(avatar_component_clause,[],[f887])). 2.00/0.68 fof(f887,plain,( 2.00/0.68 spl11_38 <=> in(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1))))), 2.00/0.68 introduced(avatar_definition,[new_symbols(naming,[spl11_38])])). 2.00/0.68 fof(f892,plain,( 2.00/0.68 spl11_37), 2.00/0.68 inference(avatar_contradiction_clause,[],[f891])). 2.00/0.68 fof(f891,plain,( 2.00/0.68 $false | spl11_37), 2.00/0.68 inference(resolution,[],[f884,f190])). 2.00/0.68 fof(f190,plain,( 2.00/0.68 ( ! [X0,X1] : (in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),cartesian_product2(singleton(X0),singleton(X1)))) )), 2.00/0.68 inference(resolution,[],[f176,f51])). 2.00/0.68 fof(f176,plain,( 2.00/0.68 ( ! [X2,X0,X1] : (~in(X0,X2) | in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),cartesian_product2(X2,singleton(X1)))) )), 2.00/0.68 inference(resolution,[],[f172,f51])). 2.00/0.68 fof(f172,plain,( 2.00/0.68 ( ! [X2,X0,X3,X1] : (~in(X1,X3) | in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),cartesian_product2(X2,X3)) | ~in(X0,X2)) )), 2.00/0.68 inference(forward_demodulation,[],[f46,f18])). 2.00/0.68 fof(f18,plain,( 2.00/0.68 ( ! [X0,X1] : (unordered_pair(X0,X1) = unordered_pair(X1,X0)) )), 2.00/0.68 inference(cnf_transformation,[],[f10])). 2.00/0.68 fof(f10,axiom,( 2.00/0.68 ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0)), 2.00/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski)). 2.00/0.68 fof(f46,plain,( 2.00/0.68 ( ! [X2,X0,X3,X1] : (~in(X1,X3) | ~in(X0,X2) | in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),cartesian_product2(X2,X3))) )), 2.00/0.68 inference(definition_unfolding,[],[f37,f19])). 2.00/0.68 fof(f19,plain,( 2.00/0.68 ( ! [X0,X1] : (ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0))) )), 2.00/0.68 inference(cnf_transformation,[],[f1])). 2.00/0.68 fof(f1,axiom,( 2.00/0.68 ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0))), 2.00/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski)). 2.00/0.68 fof(f37,plain,( 2.00/0.68 ( ! [X2,X0,X3,X1] : (~in(X1,X3) | ~in(X0,X2) | in(ordered_pair(X0,X1),cartesian_product2(X2,X3))) )), 2.00/0.68 inference(cnf_transformation,[],[f3])). 2.00/0.68 fof(f3,axiom,( 2.00/0.68 ! [X0,X1,X2,X3] : (in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) <=> (in(X0,X2) & in(X1,X3)))), 2.00/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1)). 2.00/0.68 fof(f884,plain,( 2.00/0.68 ~in(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)),cartesian_product2(singleton(sK0),singleton(sK1))) | spl11_37), 2.00/0.68 inference(avatar_component_clause,[],[f882])). 2.00/0.68 fof(f882,plain,( 2.00/0.68 spl11_37 <=> in(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)),cartesian_product2(singleton(sK0),singleton(sK1)))), 2.00/0.68 introduced(avatar_definition,[new_symbols(naming,[spl11_37])])). 2.00/0.68 fof(f535,plain,( 2.00/0.68 spl11_18 | ~spl11_7), 2.00/0.68 inference(avatar_split_clause,[],[f528,f109,f377])). 2.00/0.68 fof(f109,plain,( 2.00/0.68 spl11_7 <=> in(sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)))),cartesian_product2(singleton(sK0),singleton(sK1)))), 2.00/0.68 introduced(avatar_definition,[new_symbols(naming,[spl11_7])])). 2.00/0.68 fof(f528,plain,( 2.00/0.68 in(sK5(singleton(sK0),singleton(sK1),sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1))))),singleton(sK0)) | ~spl11_7), 2.00/0.68 inference(resolution,[],[f111,f54])). 2.00/0.68 fof(f54,plain,( 2.00/0.68 ( ! [X0,X3,X1] : (~in(X3,cartesian_product2(X0,X1)) | in(sK5(X0,X1,X3),X0)) )), 2.00/0.68 inference(equality_resolution,[],[f33])). 2.00/0.68 fof(f33,plain,( 2.00/0.68 ( ! [X2,X0,X3,X1] : (in(sK5(X0,X1,X3),X0) | ~in(X3,X2) | cartesian_product2(X0,X1) != X2) )), 2.00/0.68 inference(cnf_transformation,[],[f2])). 2.00/0.68 fof(f2,axiom,( 2.00/0.68 ! [X0,X1,X2] : (cartesian_product2(X0,X1) = X2 <=> ! [X3] : (in(X3,X2) <=> ? [X4,X5] : (in(X4,X0) & ordered_pair(X4,X5) = X3 & in(X5,X1))))), 2.00/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_zfmisc_1)). 2.00/0.68 fof(f111,plain,( 2.00/0.68 in(sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)))),cartesian_product2(singleton(sK0),singleton(sK1))) | ~spl11_7), 2.00/0.68 inference(avatar_component_clause,[],[f109])). 2.00/0.68 fof(f534,plain,( 2.00/0.68 spl11_17 | ~spl11_7), 2.00/0.68 inference(avatar_split_clause,[],[f527,f109,f372])). 2.00/0.68 fof(f527,plain,( 2.00/0.68 in(sK6(singleton(sK0),singleton(sK1),sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1))))),singleton(sK1)) | ~spl11_7), 2.00/0.68 inference(resolution,[],[f111,f56])). 2.00/0.68 fof(f56,plain,( 2.00/0.68 ( ! [X0,X3,X1] : (~in(X3,cartesian_product2(X0,X1)) | in(sK6(X0,X1,X3),X1)) )), 2.00/0.68 inference(equality_resolution,[],[f31])). 2.00/0.68 fof(f31,plain,( 2.00/0.68 ( ! [X2,X0,X3,X1] : (in(sK6(X0,X1,X3),X1) | ~in(X3,X2) | cartesian_product2(X0,X1) != X2) )), 2.00/0.68 inference(cnf_transformation,[],[f2])). 2.00/0.68 fof(f533,plain,( 2.00/0.68 spl11_16 | ~spl11_7), 2.00/0.68 inference(avatar_split_clause,[],[f526,f109,f367])). 2.00/0.68 fof(f367,plain,( 2.00/0.68 spl11_16 <=> sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)))) = unordered_pair(singleton(sK5(singleton(sK0),singleton(sK1),sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)))))),unordered_pair(sK5(singleton(sK0),singleton(sK1),sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1))))),sK6(singleton(sK0),singleton(sK1),sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)))))))), 2.00/0.68 introduced(avatar_definition,[new_symbols(naming,[spl11_16])])). 2.00/0.68 fof(f526,plain,( 2.00/0.68 sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)))) = unordered_pair(singleton(sK5(singleton(sK0),singleton(sK1),sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)))))),unordered_pair(sK5(singleton(sK0),singleton(sK1),sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1))))),sK6(singleton(sK0),singleton(sK1),sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1))))))) | ~spl11_7), 2.00/0.68 inference(resolution,[],[f111,f221])). 2.00/0.68 fof(f221,plain,( 2.00/0.68 ( ! [X0,X3,X1] : (~in(X3,cartesian_product2(X0,X1)) | unordered_pair(singleton(sK5(X0,X1,X3)),unordered_pair(sK5(X0,X1,X3),sK6(X0,X1,X3))) = X3) )), 2.00/0.68 inference(forward_demodulation,[],[f55,f18])). 2.00/0.68 fof(f55,plain,( 2.00/0.68 ( ! [X0,X3,X1] : (unordered_pair(unordered_pair(sK5(X0,X1,X3),sK6(X0,X1,X3)),singleton(sK5(X0,X1,X3))) = X3 | ~in(X3,cartesian_product2(X0,X1))) )), 2.00/0.68 inference(equality_resolution,[],[f43])). 2.00/0.68 fof(f43,plain,( 2.00/0.68 ( ! [X2,X0,X3,X1] : (unordered_pair(unordered_pair(sK5(X0,X1,X3),sK6(X0,X1,X3)),singleton(sK5(X0,X1,X3))) = X3 | ~in(X3,X2) | cartesian_product2(X0,X1) != X2) )), 2.00/0.68 inference(definition_unfolding,[],[f32,f19])). 2.00/0.68 fof(f32,plain,( 2.00/0.68 ( ! [X2,X0,X3,X1] : (ordered_pair(sK5(X0,X1,X3),sK6(X0,X1,X3)) = X3 | ~in(X3,X2) | cartesian_product2(X0,X1) != X2) )), 2.00/0.68 inference(cnf_transformation,[],[f2])). 2.00/0.68 fof(f385,plain,( 2.00/0.68 spl11_15 | spl11_4 | spl11_7), 2.00/0.68 inference(avatar_split_clause,[],[f383,f109,f81,f352])). 2.00/0.68 fof(f352,plain,( 2.00/0.68 spl11_15 <=> unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)) = sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1))))), 2.00/0.68 introduced(avatar_definition,[new_symbols(naming,[spl11_15])])). 2.00/0.68 fof(f81,plain,( 2.00/0.68 spl11_4 <=> cartesian_product2(singleton(sK0),singleton(sK1)) = singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)))), 2.00/0.68 introduced(avatar_definition,[new_symbols(naming,[spl11_4])])). 2.00/0.68 fof(f383,plain,( 2.00/0.68 cartesian_product2(singleton(sK0),singleton(sK1)) = singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1))) | unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)) = sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)))) | spl11_7), 2.00/0.68 inference(resolution,[],[f110,f100])). 2.00/0.68 fof(f100,plain,( 2.00/0.68 ( ! [X2,X3] : (in(sK2(X2,singleton(X3)),X2) | singleton(X3) = X2 | sK2(X2,singleton(X3)) = X3) )), 2.00/0.68 inference(resolution,[],[f21,f49])). 2.00/0.68 fof(f21,plain,( 2.00/0.68 ( ! [X0,X1] : (in(sK2(X0,X1),X1) | in(sK2(X0,X1),X0) | X0 = X1) )), 2.00/0.68 inference(cnf_transformation,[],[f15])). 2.00/0.68 fof(f15,plain,( 2.00/0.68 ! [X0,X1] : (X0 = X1 | ? [X2] : (in(X2,X0) <~> in(X2,X1)))), 2.00/0.68 inference(ennf_transformation,[],[f8])). 2.00/0.68 fof(f8,axiom,( 2.00/0.68 ! [X0,X1] : (! [X2] : (in(X2,X0) <=> in(X2,X1)) => X0 = X1)), 2.00/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski)). 2.00/0.68 fof(f110,plain,( 2.00/0.68 ~in(sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)))),cartesian_product2(singleton(sK0),singleton(sK1))) | spl11_7), 2.00/0.68 inference(avatar_component_clause,[],[f109])). 2.00/0.68 fof(f132,plain,( 2.00/0.68 ~spl11_7 | ~spl11_8 | spl11_4), 2.00/0.68 inference(avatar_split_clause,[],[f126,f81,f113,f109])). 2.00/0.68 fof(f113,plain,( 2.00/0.68 spl11_8 <=> in(sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)))),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1))))), 2.00/0.68 introduced(avatar_definition,[new_symbols(naming,[spl11_8])])). 2.00/0.68 fof(f126,plain,( 2.00/0.68 ~in(sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)))),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)))) | ~in(sK2(cartesian_product2(singleton(sK0),singleton(sK1)),singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1)))),cartesian_product2(singleton(sK0),singleton(sK1))) | spl11_4), 2.00/0.68 inference(extensionality_resolution,[],[f22,f83])). 2.00/0.68 fof(f83,plain,( 2.00/0.68 cartesian_product2(singleton(sK0),singleton(sK1)) != singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1))) | spl11_4), 2.00/0.68 inference(avatar_component_clause,[],[f81])). 2.00/0.68 fof(f22,plain,( 2.00/0.68 ( ! [X0,X1] : (~in(sK2(X0,X1),X1) | ~in(sK2(X0,X1),X0) | X0 = X1) )), 2.00/0.68 inference(cnf_transformation,[],[f15])). 2.00/0.68 fof(f84,plain,( 2.00/0.68 ~spl11_4 | spl11_1), 2.00/0.68 inference(avatar_split_clause,[],[f79,f58,f81])). 2.00/0.68 fof(f58,plain,( 2.00/0.68 spl11_1 <=> cartesian_product2(singleton(sK0),singleton(sK1)) = singleton(unordered_pair(unordered_pair(sK0,sK1),singleton(sK0)))), 2.00/0.68 introduced(avatar_definition,[new_symbols(naming,[spl11_1])])). 2.00/0.68 fof(f79,plain,( 2.00/0.68 cartesian_product2(singleton(sK0),singleton(sK1)) != singleton(unordered_pair(singleton(sK0),unordered_pair(sK0,sK1))) | spl11_1), 2.00/0.68 inference(forward_demodulation,[],[f60,f18])). 2.00/0.68 fof(f60,plain,( 2.00/0.68 cartesian_product2(singleton(sK0),singleton(sK1)) != singleton(unordered_pair(unordered_pair(sK0,sK1),singleton(sK0))) | spl11_1), 2.00/0.68 inference(avatar_component_clause,[],[f58])). 2.00/0.68 fof(f61,plain,( 2.00/0.68 ~spl11_1), 2.00/0.68 inference(avatar_split_clause,[],[f40,f58])). 2.00/0.68 fof(f40,plain,( 2.00/0.68 cartesian_product2(singleton(sK0),singleton(sK1)) != singleton(unordered_pair(unordered_pair(sK0,sK1),singleton(sK0)))), 2.00/0.68 inference(definition_unfolding,[],[f16,f19])). 2.00/0.68 fof(f16,plain,( 2.00/0.68 cartesian_product2(singleton(sK0),singleton(sK1)) != singleton(ordered_pair(sK0,sK1))), 2.00/0.68 inference(cnf_transformation,[],[f13])). 2.00/0.68 fof(f13,plain,( 2.00/0.68 ? [X0,X1] : cartesian_product2(singleton(X0),singleton(X1)) != singleton(ordered_pair(X0,X1))), 2.00/0.68 inference(ennf_transformation,[],[f12])). 2.00/0.68 fof(f12,negated_conjecture,( 2.00/0.68 ~! [X0,X1] : cartesian_product2(singleton(X0),singleton(X1)) = singleton(ordered_pair(X0,X1))), 2.00/0.68 inference(negated_conjecture,[],[f11])). 2.00/0.68 fof(f11,conjecture,( 2.00/0.68 ! [X0,X1] : cartesian_product2(singleton(X0),singleton(X1)) = singleton(ordered_pair(X0,X1))), 2.00/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t35_zfmisc_1)). 2.00/0.68 % SZS output end Proof for theBenchmark 2.00/0.68 % (25753)------------------------------ 2.00/0.68 % (25753)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 2.00/0.68 % (25753)Termination reason: Refutation 2.00/0.68 2.00/0.68 % (25753)Memory used [KB]: 12281 2.00/0.68 % (25753)Time elapsed: 0.223 s 2.00/0.68 % (25753)------------------------------ 2.00/0.68 % (25753)------------------------------ 2.00/0.68 % (25736)Success in time 0.297 s 2.00/0.69 EOF